Another treat on Friday November 20th at 2pm
Provisional venue Room A2002, Main Building.
Professor Richard Gill ( Mathematical Institute, Leiden University )
will give a talk entitled:
I will try to explain what quantum statistics is - quantum statistics in
the sense of "statistical modelling and inference for quantum physics
experiments" - by discussing some recent developments in the theory of
"optimal state reconstruction". In particular, I will discuss quantum
Fisher information, quantum Cramér-Rao bounds, quantum asymptotic
optimality for the case when the experimenter can choose whatever
measurement he likes to do, in order to learn the state of N independent
"copies" of an arbitrary finite dimensional quantum system, e.g., a two
level system. This is the quantum version of the problem of statistical
inference for p based on observation of N iid Bernouilli variables. I
will touch on the relevance of the theory for real world experiments.
Prior knowledge of quantum physics (or for that matter, of physics in
general) would likely be a disadvantage.
Reference: pp. 239-261 in Quantum Stochastics & Information: Statistics,
Filtering & Control, V.P. Belavkin & M. Guta, eds.
My home page contains links to tutorial and introductory material aimed
at statisticians and probabilists
Prof. Gilbert MacKenzie
Centre of Biostatistics,
Dept. of Mathematics & Statistics,
University of Limerick,
CBS ~ http://www.ul.ie/biostatistics
BIO-SI ~ http://www.ul.ie/bio-si
Gilbert ~ http://www.staff.ul.ie/mackenzieg
Email: [log in to unmask]
Tel: +353 (0)61 213499
Fax: +353 (0)61 334927
ISA ~ http://www.istat.ie.